Pith Number

pith:WBZGF7NT

pith:2013:WBZGF7NT73W4TIYV7I3DJG4EK6

not attested not anchored not stored refs pending

Anomalies of Dirac type operators on Euclidean space

Alan Carey, Harald Grosse, Jens Kaad

arxiv:1310.1796 v2 · 2013-10-07 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WBZGF7NT73W4TIYV7I3DJG4EK6}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:51:42.060221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b07262fdb3feedc9a315fa36349b84578f74c756bb39a9a00d0f3f7c9896fac4

Aliases

arxiv: 1310.1796 · arxiv_version: 1310.1796v2 · doi: 10.48550/arxiv.1310.1796 · pith_short_12: WBZGF7NT73W4 · pith_short_16: WBZGF7NT73W4TIYV · pith_short_8: WBZGF7NT

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WBZGF7NT73W4TIYV7I3DJG4EK6 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b07262fdb3feedc9a315fa36349b84578f74c756bb39a9a00d0f3f7c9896fac4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4caff7a60ba7096b7da34075dfcfab3d9692737ccdae5b8c7110936d57cfce4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-10-07T14:26:05Z",
    "title_canon_sha256": "6d8e047e5de12f37f2b786580e2da46df98475bc58a2f6e63a4785e504b1dbf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1796",
    "kind": "arxiv",
    "version": 2
  }
}